1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vagabundo [1.1K]
3 years ago
5

Hi can you help with some ratio and proportion questions​

Mathematics
1 answer:
pochemuha3 years ago
5 0

Answer:

1a. 12 : 40

1b. 15 : 21

1c. 24 : 44

1d. 2 : 25

2. 40 boys and 100 girls

3. 96 girls

4. £71.43

5a. 9 : 4

5b. 3 : 1

5c. 3 : 5

6. 210 : 90

7. Sorry, I couldn't figure out how to solve this question :(

Step-by-step explanation:

Since I'll be using a similar method to solve these questions, I won't go into a detailed explanation for how I solved every single question. If you do need extra help, please ask in the comments below my answer.

1. Let's use part (a) as an example. The ratio is 3:10. To new ratio is ?:40. So, 10 becomes 40. What number multiplied by 10 equals 40? The answer is 4. If 10 is multiplied by 4, then 3 must be multiplied by 4 as well. 3*4 = 12, so the ratio is 12:40.

In part b the ratio is multiplied by 3, part c is 4, and part d is 1/2.

2. To solve this, add the values on both sides of the ratio together: 2 + 5 = 7. Now, divide the total number of pupils, 140, by 7: 140/7 = 20. Finally, multiply 20 by both sides of the ratio: 2 * 20:5 * 20 = 40:100. There are 40 boys and 100 girls.

3. To solve this I used the same method as the one I used in question 1.

4. The ratio is 5:140, where 140 becomes 2000. To solve, use the method used in question 1.

5. Simplifying ratios is the same as simplifying fractions. Find the greatest common factor of the values on both sides of the ratio and divide both sides by that factor. For example, in part a the factor for 45:20 is 5. 45/5 = 9 and 20/5 = 4. The ratio becomes 9:4.

For part b the factor is 9 and for part c the factor is 50.

6. Same method as was used in question 2.

Hope this helps :)

You might be interested in
Pleeeeese help me as fast as you can!!!
Aleonysh [2.5K]

Answer:

A. y=3x-10

C. y+6=3(x-15)

Step-by-step explanation:

Given:

The given line is 6x+18y=5

Express this in slope-intercept form y=mx+b, where m is the slope and b is the y-intercept.

6x+18y=5\\18y=-6x+5\\y=-\frac{6}{18}x+\frac{5}{18}\\y=-\frac{1}{3}x+\frac{5}{18}

Therefore, the slope of the line is m=-\frac{1}{3}.

Now, for perpendicular lines, the product of their slopes is equal to -1.

Let us find the slopes of each lines.

Option A:

y=3x-10

On comparing with the slope-intercept form, we get slope as  m_{A}=3.

Now, m\times m_{A}=-\frac{1}{3}\times 3=-1. So, option A is perpendicular to the given line.

Option B:

For lines of the form x=a, where, a is a constant, the slope is undefined. So, option B is incorrect.

Option C:

On comparing with the slope-point form, we get slope as  m_{C}=3.

Now, m\times m_{C}=-\frac{1}{3}\times 3=-1. So, option C is perpendicular to the given line.

Option D:

3x+9y=8\\9y=-3x+8\\y=-\frac{3}{9}x+\frac{8}{9}\\y=-\frac{1}{3}x+\frac{8}{9}

On comparing with the slope-intercept form, we get slope as  m_{D}=-\frac{1}{3}.

Now, m\times m_{D}=-\frac{1}{3}\times -\frac{1}{3}=\frac{1}{9}. So, option D is not perpendicular to the given line.

8 0
3 years ago
How would I find the slope and y-intercept of y+3=x? I'm familiar with slope and y-intercept already, but I can't figure it out
butalik [34]

Answer: \mathrm{Slope\:of\:}y+3=x:\quad m=1

5 0
3 years ago
-6 3/5 - (-7 4/15) + 2 1/5
Ilya [14]

Answer:2.87

Step-by-step explanation:

3 0
3 years ago
The cost of 12 oranges and 7 coples is 55.36. Eight oranges and apples cost $3.68. Find the cost
victus00 [196]

Hello there i hope you are having a good day :) Your question : The cost of 12 oranges and 7 couples is 55.36. Eight oranges and apples cost $3.68. Find the cost  of each : Firstly you would do oranges = O Apples = A. Then 12 oranges + 7 apples = 5.36 12o + 7A = 5.36 then you would take away from both sides so -12o Take away -12o = 7o = 5.36 - 12A now you would divide this by 7 so 7 cancels each out so you are left with 5.36/ 7 = 0.76 Then it would equal 0.76 - 12o/7 This would equal the amount of apples to be $0.76 each now for the oranges you would do the same that you work out for the apples.

Hopefully that help ya :)

4 0
3 years ago
7th grade math<br> I will give brainliest to right answer<br> 6 = -4/5 s<br> what is the value of s
alekssr [168]

Answer:

\frac{-4}{5} s = 6\\-4s = 6*5\\-4s = 30\\s = \frac{30}{-4}

s = 30/-4   or      -7.5

8 0
3 years ago
Other questions:
  • What is the missing coefficient in the equation 5x+By=2
    12·1 answer
  • Help????????????????????
    11·1 answer
  • The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp
    13·1 answer
  • How much for 5m -(5+7x) =87
    13·2 answers
  • If someone could work out the first half of the problem and explain that would be great!
    9·2 answers
  • Write an equation of the direct variation that includes the point (-10,-17)
    6·1 answer
  • Daisy works at an ice-cream parlor. She is paid $10 per hour for the first 8 hours she works in a day. For every extra hour she
    14·1 answer
  • A parallelogram has side lengths of 4 and 6 and an angle of measure 55°.
    13·1 answer
  • What number should go in the space multiplying by 1.44 is the same as increasing by.
    10·1 answer
  • Use the distributive property to write expression without parenthesis 6(6x-5)
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!